when-passing-through-glass-a-light-ray-is-refracted-bent-such-that-the-angle-of-refraction-r-is-give

Name: when passing through glass a light ray is refracted bent such that the angle of refraction r is give
Uploaded: 2021-06-10
Duration: 1 min 28 s
Channel: Numerade
Description: When passing through glass, a light ray is refracted (bent) such that the angle of refraction $r$ is given by $r=\sin ^{-1}[(\sin i) / \mu] .$ Here, $i$ is the angle of incidence, and $\mu$ is the index of refraction of the glass (see Fig. 27.9 ). For different types of glass, $\mu$ differs. Find the expression for $d r$ for a constant value of $i.$

Question

When passing through glass, a light ray is refracted (bent) such that the angle of refraction $r$ is given by $r=\sin ^{-1}[(\sin i) / \mu] .$ Here, $i$ is the angle of incidence, and $\mu$ is the index of refraction of the glass (see Fig. 27.9 ). For different types of glass, $\mu$ differs. Find the expression for $d r$ for a constant value of $i.$

Suzanne W. · Accepted Answer

a beam of light both reflects and refracts at the same surface between air and glass is shown in the figure in your textbook if the index of refraction of the glass is in is and some G. Find the angle of incidents in the air that would result in the reflected ray and the refracted ray being perpendicular to each other. Okay, so first we&#x27;re starting with snails long where N. One is equal to one because it&#x27;s air. So you get a sign of data one equals and GT sign of data order Which is equal to censor, perpendicular sign of 90 -30 to 1. And they give you that. That is equal to co sign services. N. G. Co sign I need a one And you have signed a fatal one dividing by co sign of fatal on both sides. You get tangent of fatal. One is equal to and GT So data one is equal to the inverse tangent of N. G.

Salamat Ali · Answer

using its nails a lot. We will write a sign sign angle off, refraction and look refraction. Okay. This is not a reflection. Refraction. This equal to signing off for a fraction is equal to the refractive index off a video or affected decks of be medium. I&#x27;m signing off that. Okay. So we can solve for theta be that be, um, by plugging the values that we have an heir we have is and maybe have 1.7 1.7 low and B, we have 1.58 and then we have a sign. Sign off. Scientist A&#x27;s Ah, 62 degrees six instituted. Please create just plugging. Um, if you just sold for signed 62 then do the mats, then the value here we get for refracted angle is 71.8 degrees. Please end off the problem. Thank you for

Zulfiqar Ali · Answer

using Snell&#x27;s law. Well, Smells Loy&#x27;s in one time sign Peter one is equal to in two times Sign Peter, too. And we know that the index of refraction of Series one and we have the index of refraction of the given glass. Let&#x27;s say the index of refraction of a given glasses and G then stands Loy&#x27;s 1.0 times sign Peter one is equal to ah refractive index of blast times Sign I needed to and signed Taito to sign Peter two is equal to sign Pito one divided by, uh and G refractive index off the glass. Well, since the practice three. And, uh, since the reflected glory, Andrew practically are perpendicular to each other. Um, we can see from the right side of the perpendicular to the surface that, um Pita one Peter one less 19. Bless. Peter too, is equal to 1 80 degrees. And Peter Do is equal to 19 minus Peter one uh, Peter one right and sign. Preda two is equal to sign 90 minus Tito. One taking sign on board science, which is equal to cool. Sign of Peter one. Right. And further, we have signed pita scientific toe one divided by N is equal to go. Sign off, Tito One right and further. Let&#x27;s, um this is a refractive index of glass and refractive. Index of glass is equal to Peter one divided by go. A sign of Tito one Go sign of Tito one pi is equal to Jane. Peter One. Well, this is signed, Peter. One back is damn Tito one and Peter one is equal to Danny. Worse came to refractive index of the glass.

Mayukh Banik · Answer

So this is the entrance surface and this is the surface Normal light is incident at an angle off instance, it was I it was 50 degree. So this has angered off reflection. It was all on this angle has given us a So the angle off incident the second services are prime on. Then it find the emerges in that direction and this anger these data. So this angle over here is 90 minus a. So we have a equals 60 degree. So this angle over here is 120 degree because that&#x27;s 90 that&#x27;s 90. So that&#x27;s angle 120 degree. So we have All of us are prime. It was 60 degrees. And now we have here Sign 50 degree equals the effective index off the glass sign our So we find our equals sign inversion. Our our It was signing divorce. Wonderful end signed 50. So use this to equation and find our prime on. Then do that m sign our prime. It was one sign Tetteh so theta will come out to be science voice and sign our fried, which is 60 minus odd and rd&#x27;s signing waas one of em sign 50 degree So now Uh huh. From here, we can find Georgia. Is this angle is Georgia So actually, that is not Delta. So, uh, if we have ah, different color, then it is Ben does it a different direction. So maybe it will bend in that direction, and this angle will be delta. So in our case, Belgium will be there is therefore violet minus Delta four red hard. The way that we have done this problem, it is third or for violet by a theta for red on that will come out as cool using the convention. It will come out as e v minus R v minus. I&#x27;ve minus e. R minus R R minus. I are. Is it the angle of incidence on the final? Angered off if

Salamat Ali · Answer

In part of the Cuban problem, we are asked to find the refractive index off a material refractory. Next off material is given by Tain that a p where theta be isra hair is a 40 year dignities. This gives us affecting. That&#x27;s off 1.11. Not to be. We were asked to find a better, too. We can find a 32 by writing Snell&#x27;s law, that is, in one time, scientist. One is it bolted in two time scientists, too. And one year he&#x27;s the one signed 45 so that no one is a 48 story visit, Balto. And do we found this 1.11 sign later, too, From here or signed Thanks to will be that the two movie 40 42 degrees From here we can find that that that that that will be 90 or in the state of P, which is 19 Marlys um 48 which is ah again equal to so Thursday&#x27;s a colt 42 degrees

Suzanne W. · Answer

given. We have ah lost here. So in effect class here, light strikes the glass surface and reflects back. We have a normals. You This is angle off incident, which is angle off. Also logistical Dangle off refraction and we have angle off refraction here. Car in this angle, we call it the state of one. Then wait for us to find a better one so that no one will be signed that that one will be visible to N G. I&#x27;m side. They, uh, are from here of so sign Sign that one physical to N g. Sign Ngeze and fracturing this offer a glass here is there signed 90 minus state of one. Then we could write Sign that the one is called N G. The sign the into 19 minus theta one is imported all state on one. So bringing this cost of left inside we get saying they don&#x27;t want Mrs Goto n g so that no one will be better. One will be simply taking it worse off. N g refractive index of the glass

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